document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=862109>Question 862109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone please help with this rational exponents problem?\r<BR>\n" );
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document.write( "Simplify using the rules of exponents and give detailed step by step directions on how you arrive to the solution.\r<BR>\n" );
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document.write( "27^(-2/3)/27^(-1/3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #519456 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=519456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Both exponents start as negative; and there is a rule like, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E%28-a%29=1%2Fb%5Ea ALIGN=MIDDLE  ALT=\"b%5E%28-a%29=1%2Fb%5Ea\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Not really the best rule to most immediately use.  Notice both bases are 27.  Also is the exponent rule like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5Ea%29%2Fb%5Ec=b%5E%28a-c%29 ALIGN=MIDDLE  ALT=\"%28b%5Ea%29%2Fb%5Ec=b%5E%28a-c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, more useful here.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%5E%28-2%2F3%29%2F27%5E%28-1%2F3%29 ALIGN=MIDDLE  ALT=\"27%5E%28-2%2F3%29%2F27%5E%28-1%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%5E%28-2%2F3-%28-1%2F3%29%29 ALIGN=MIDDLE  ALT=\"27%5E%28-2%2F3-%28-1%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%5E%281%2F3-2%2F3%29 ALIGN=MIDDLE  ALT=\"27%5E%281%2F3-2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%5E%28-1%2F3%29 ALIGN=MIDDLE  ALT=\"27%5E%28-1%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and NOW you can use the first stated rule about the negative exponents:\r<BR>\n" );
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document.write( "WAIT.  Not really necessary.  WHY?  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%5E3%29%5E%28-1%2F3%29 ALIGN=MIDDLE  ALT=\"%283%5E3%29%5E%28-1%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, simply factored the base;\r<BR>\n" );
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document.write( "Know THIS rule:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5Ea%29%5Ec=b%5E%28ac%29 ALIGN=MIDDLE  ALT=\"%28b%5Ea%29%5Ec=b%5E%28ac%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next step then is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%283%28-1%2F3%29%29 ALIGN=MIDDLE  ALT=\"3%5E%283%28-1%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28-1%29 ALIGN=MIDDLE  ALT=\"3%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "One big problem on the site is that rendering of rational exponents often works badly.  write me a message if you want to see the steps through a different form or platform. </SPAN>\n" );
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